INTEGRASI NUMERIK MENGGUNAKAN METODE

INTEGRASI NUMERIK MENGGUNAKAN METODE GAUS KUADRATUR DENGAN
PENDEKATAN INTERPOLASI HERMIT DAN POLINOMIAL LEGENDRE
Sutrisno, Robertus Heri
Jurusan Matematika FMIPA UNDIP Semarang
Abstract. Gaus Quadrature Formula is better alternative than Newton Cotes Formula. The
principal of Gaus Quadrature Formula determine unequal interval to minimize the error of
approximation of integration. Formulation Gaus Quadrature on limited interval for numerical
integration can use Hermite Interpolation Formula. Then, using the properties of Legendre
polynomial which orthogonal on [-1,1] can determined nodes and weights. So, based on nodes and
weight can be determined a Gaus – Legendre Quadratur Formula.
Keywords: Gauss Quadrature Method, Legendre Polynomial, Hermite Interpolation, Lagrange
Interpolation, Error, Gauss – Legendre Quadrature Formula.